An accelerated sketched online Newton method with Hessian averaging achieves global almost-sure convergence, asymptotic normality via a Lyapunov covariance, and a fully online covariance estimator under standard conditions.
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Inference of Online Newton Methods with Nesterov's Accelerated Sketching
An accelerated sketched online Newton method with Hessian averaging achieves global almost-sure convergence, asymptotic normality via a Lyapunov covariance, and a fully online covariance estimator under standard conditions.